OA-Gain+Familiarity+With+Factors+&+Multiples

4.OA.4. Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite. || ===‍‍‍‍‍‍Anchor Standard/Mathematical Practice(s) === 3-Construct viable arguments and critique the reasoning of other 6-Attend to precision 7-Look for and make use of structure. || 4.TT.1.1 Use technology tools to gather and organize data || ===‍‍‍‍‍‍Revised Bloom's Level of thinking === Understanding Evaluating || ===‍‍‍‍‍‍Learning Target/Task Analysis === This standard requires students to demonstrate understanding of factors and multiples of whole numbers. This standard also refers to prime and composite numbers. Prime numbers have exactly two factors, the number one and their own number. For example, the number 17 has the factors of 1 and 17. Composite numbers have more than two factors. For example, 8 has the factors 1, 2, 4, and 8. A common misconception is that the number 1 is prime, when in fact; it is neither prime nor composite. Another common misconception is that all prime numbers are odd numbers. This is not true, since the number 2 has only <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">2 factors, 1 and 2, and is also an even number. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Prime vs. Composite: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">A prime number is a number greater than 1 that has only 2 factors, 1 and itself. Composite numbers <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">have more than 2 factors. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Students investigate whether numbers are prime or composite by <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">• building rectangles (arrays) with the given area and finding which numbers have more than two <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">rectangles (e.g. 7 can be made into only 2 rectangles, 1 x 7 and 7 x 1, therefore it is a prime <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">number) <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">• finding factors of the number <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Students should understand the process of finding factor pairs so they can do this for any number 1 - <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">100, <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Example: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Factor pairs for 96: 1 and 96, 2 and 48, 3 and 32, 4 and 24, 6 and 16, 8 and 12. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Multiples can be thought of as the result of skip counting by each of the factors. When skip counting, <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">students should be able to identify the number of factors counted e.g., 5, 10, 15, 20 (there are 4 fives in <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">20).
 * ===<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Common Core Standard ===
 * ===<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Information Technology Standard ===

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍I can...
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">find factor pairs for a whole number between 1-100. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">find multiples of a whole number. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">determine prime numbers. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">determine composite numbers.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Sample Assessments
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Create and solve an equation from a given word problem.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Over the summer, Raul read 8 books. Natalia read 4 times as many books. How many books did Natalia read? Draw a picture or create a model of the problem, write an equation with a symbol for the unknown variable, and solve.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Intervention:
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">http://daretodifferentiate.wikispaces.com/Choice+Boards <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Use area models to see all possible factors and for prime and composite numbers <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Use equal subsets of counters to find factors.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Play Raging Rectangles from Third Grade Strategies book
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<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Instructional Resources
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<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[|Quantiles Activity]
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Illuminations Factorize Game

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===<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Notes and Additional Information ===